International Journal of Naval Architecture and Ocean Engineering

The Society of Naval Architects of Korea (대한조선학회)
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Sensitivity-based finite element model updating with natural frequencies and zero frequencies for damped beam structures

  • Min, Cheon-Hong (Technology Center for Offshore Plant Industries, Korea Research Institute of Ships & Ocean Engineering) ;
  • Hong, Sup (Technology Center for Offshore Plant Industries, Korea Research Institute of Ships & Ocean Engineering) ;
  • Park, Soo-Yong (Department of Architecture and Ocean Space, Korea Maritime and Ocean University) ;
  • Park, Dong-Cheon (Department of Architecture and Ocean Space, Korea Maritime and Ocean University)
  • Published : 2014.12.31
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Abstract

The main objective of this paper is to propose a new Finite Element (FE) model updating technique for damped beam structures. The present method consists of a FE model updating, a Degree of Freedom (DOF) reduction method and a damping matrix identification method. In order to accomplish the goal of this study, first, a sensitivity-based FE model updating method using the natural frequencies and the zero frequencies is introduced. Second, an Iterated Improved Reduced System (IIRS) technique is employed to reduce the number of DOF of FE model. Third, a damping matrix is estimated using modal damping ratios identified by a curve-fitting method and modified matrices which are obtained through the model updating and the DOF reduction. The proposed FE model updating method is verified using a real cantilever beam attached damping material on one side. The updated result shows that the proposed method can lead to accurate model updating of damped structures.

Keywords

Acknowledgement

Supported by : Ministry of Oceans and Fisheries of Korea

References

  1. Adhikari, S. and Woodhouse, J., 2001. Identification of damping : part 1, viscous damping. Journal of Sound and Vibration, 243(1), pp.43-61. https://doi.org/10.1006/jsvi.2000.3391
  2. Adhikari, S. and Woodhouse, J., 2002. Identification of damping : part 3, symmetry-preserving methods. Journal of Sound and Vibration, 251(3), pp.477-490. https://doi.org/10.1006/jsvi.2001.4023
  3. Arora, V., Singh, S.P. and Kundra, T.K., 2009. Damped model updating using complex parameters. Journal of Sound and Vibration, 320(1-2), pp.438-451. https://doi.org/10.1016/j.jsv.2008.08.014
  4. Arora, V., Singh, S.P. and Kundra, T.K., 2010. Further experience with model updating incorporating damping matrices. Mechanical Systems and Signal Processing, 24(5), pp.1383-1390. https://doi.org/10.1016/j.ymssp.2009.12.010
  5. Bakir, P.G., Reynders, E. and De Roeck, G., 2007. Sensitivity-based finite element model updating constrained optimization with a trust region algorithm. Journal of Sound and Vibration, 305(1-2), pp.211-225. https://doi.org/10.1016/j.jsv.2007.03.044
  6. D'Ambrogio, W. and Fregolent, A., 1998. On the use of consistent and significant information to reduce ill-conditioning in dynamic model updating. Mechanical Systems and Signal Processing, 12(1), pp.203-222. https://doi.org/10.1006/mssp.1997.0141
  7. D'Ambrogio, W. and Fregolent, A., 2000. The use of antiresonances for robust model updating. Journal of Sound and Vibration, 236(2), pp.227-243. https://doi.org/10.1006/jsvi.1999.2987
  8. Esfandiari, A., Bakhtiari-Nejad, F., Sanayei, M. and Rahai, A., 2010. Structural finite element model updating using transfer function data. Computer and Structures, 88(1-2), pp.54-64. https://doi.org/10.1016/j.compstruc.2009.09.004
  9. Friswell, M.I. and Mottershead, J.E., 1995. Finite element model updating in structural dynamics. Netherlands: Kluwer Academic Publishers.
  10. Friswell, M.I., Garvey, S.D. and Penny, J.E.T., 1995. Model reduction using dynamic and iterated IRS techniques. Journal of Sound and Vibration, 186(2), pp.311-323. https://doi.org/10.1006/jsvi.1995.0451
  11. Gordis, J.H., 1992. An analysis of the improved reduced system (IRS) model reduction procedure. Proceedings of the 10th International Modal Analysis Conference, San Diego, CA, USA, 3-7 February 1992, pp.471-479.
  12. Guyan, R.J., 1965. Reduction of stiffness and mass matrices. AIAA Journal, 3(2), pp.380. https://doi.org/10.2514/3.2874
  13. Hanson, D., Waters, T.P., Thompson, D.J., Randall, R.B. and Ford, R.A.J., 2007. The role of anti-resonance frequencies from operational model analysis in finite element model updating. Mechanical Systems and Signal Processing, 21(1), pp.74-97. https://doi.org/10.1016/j.ymssp.2006.01.001
  14. Irons, B., 1965. Structural eigenvalue problems elimination of unwanted variables. AIAA Journal, 3(5), pp.961-962.
  15. Jones, K. and Turcotte, J., 2002. Finite element model updating using antiresonant frequencies. Journal of Sound and Vibration, 252(4), pp.717-727. https://doi.org/10.1006/jsvi.2001.3697
  16. Lee, J.H. and Kim, J., 2001. Identification of damping matrices form measured frequency response functions. Journal of Sound and Vibration, 240(3), pp.545-565. https://doi.org/10.1006/jsvi.2000.3248
  17. Lin, R.M. and Zhu, J., 2006. Modal updating of damped structures using FRF data. Mechanical Systems and Signal Processing, 20(8), pp.2200-2218. https://doi.org/10.1016/j.ymssp.2006.05.008
  18. Maia, N.M.M. and Silva, J.M.M., 1998. Theoretical and experimental modal analysis. Baldock, Hertfordshire: Research Studies Press LTD.
  19. Minas, C. and Inman, D.J., 1991. Identification of a nonproportional damping matrix from incomplete modal information. Journal of Vibration and Acoustics, 113, pp.219-224. https://doi.org/10.1115/1.2930172
  20. Min, C.H., Park, H.I., Bae, S.R. and Jeon, J.J., 2009. New global curve fitting method using frequency response function. Journal of Ocean Engineering and Technology, 23(6), pp.82-86.
  21. Min, C.H., Park, S.Y. and Park, H.I., 2012. Finite element model updating with experimental natural and zero frequencies. International Journal of Offshore and Polar Engineering, 22(3), pp.225-233.
  22. Mottershead, J.E., 1998. On the zeros of structural frequency response functions and their sensitivities. Mechanical Systems and Signal Processing, 12(5), pp.591-597. https://doi.org/10.1006/mssp.1998.0167
  23. Nam, D.H., Choi, S.H., Park, S.Y. and Stubbs, N., 2005. Improved parameter identification using additional spectral information. International Journal of Solids and Structures, 42, pp.4971-4987. https://doi.org/10.1016/j.ijsolstr.2005.02.017
  24. Ozgen, G.O. and Kim, J.H., 2007. Direct identification and expansion of damping matrix for experimental-analytical hybrid modeling. Journal of Sound and Vibration, 308(1-2), pp.348-372. https://doi.org/10.1016/j.jsv.2007.07.044
  25. Rade, D.A. and Lallement, G., 1998. A strategy for the enrichment of experimental data as applied to an inverse eigensensitivity- based FE model updating method. Mechanical Systems and Signal Processing, 12(2), pp.293-307. https://doi.org/10.1006/mssp.1997.0121
  26. Stubbs, N. and Osegueda, R., 1990. Global non-destructive damage evaluation in solids. Internal Journal of Analytical and Experimental Modal Analysis, 5, pp.67-79.